Selenabostami Selenabostami
  • 12-12-2020
  • Mathematics
contestada

distance between A (2, -1) and (2,a) is 4 units. Find the value of a where a is positive.

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jimrgrant1 jimrgrant1
  • 12-12-2020

Answer:

a = 3

Step-by-step explanation:

Calculate the distance d using the distance formula and equate to 4

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)

d = [tex]\sqrt{(2-2)^2+(a+1)^2}[/tex] = [tex]\sqrt{0+(a+1)^2}[/tex] = [tex]\sqrt{(a+1)^2}[/tex] = a + 1 then

a + 1 = 4 ( subtract 1 from both sides )

a = 3

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